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 On H\"older estimates for Cauchy transforms on convex domains in $\mathbb{C}^2$ Bull. Korean Math. Soc. 2019 Vol. 56, No. 4, 929-937 https://doi.org/10.4134/BKMS.b180684Published online July 31, 2019 Ly Kim Ha Vietnam National University Abstract : The main purpose of this paper is to establish H\"older estimates for the Cauchy transform in a class of finite/infinite type convex domains in $\mathbb{C}^2$. Keywords : Cauchy transform, Lipschitz spaces, convex domain, infinite type, Cauchy-Fantappi\`e form MSC numbers : 32A25, 32A40, 32F15 Full-Text :